What is the integral from 0 to 1 of cx ?

The integral from 0 to 1 of cx is c/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from 0 to 1 of cx

\int_{0}^{1} c x d x

\frac{c}{2}

Solution steps

\int_{0}^{1} c x d x

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= c \cdot \int_{0}^{1} x d x

Apply the Power Rule

: [\frac{x ^{2}}{2}]_{0}^{1}

= c [\frac{x ^{2}}{2}]_{0}^{1}

Compute the boundaries:

\frac{1}{2}

= c \frac{1}{2}

Simplify

= \frac{c}{2}

\int_{0}^{2 π} 7 t 2 d t

\int_{0}^{\infty} 13 x e^{2 x} d x

\int_{0}^{7} \frac{1}{x ^{0.7}} d x

\int_{1}^{2} 5 x^{3} d x

\int_{0}^{1} 7 ln (x) d x